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Simplifying 3x + 15 = 4x + 12 + -10 + 2x Reorder the terms: 15 + 3x = 4x + 12 + -10 + 2x Reorder the terms: 15 + 3x = 12 + -10 + 4x + 2x Combine like terms: 12 + -10 = 2 15 + 3x = 2 + 4x + 2x Combine like terms: 4x + 2x = 6x 15 + 3x = 2 + 6x Solving 15 + 3x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15 + 3x + -6x = 2 + 6x + -6x Combine like terms: 3x + -6x = -3x 15 + -3x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -3x = 2 + 0 15 + -3x = 2 Add '-15' to each side of the equation. 15 + -15 + -3x = 2 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = 2 + -15 -3x = 2 + -15 Combine like terms: 2 + -15 = -13 -3x = -13 Divide each side by '-3'. x = 4.333333333 Simplifying x = 4.333333333
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